Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation

被引：0
作者：
Dmitry M. Polyakov
机构：
[1] Vladikavkaz Scientific Center of RAS,Southern Mathematical Institute
来源：
Monatshefte für Mathematik | 2023年 / 202卷 / 1期
关键词：
Spectrum; Eigenvalue asymptotics; Trace formula; Fourth-order differential operator; Thin film equation; 34L20; 34B09; 47E05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a self-adjoint fourth-order operator with real 1-periodic coefficients on the unit interval and the Neumann–Dirichlet boundary conditions. The spectrum of this operator is discrete. We determine the high energy asymptotics for the eigenvalues and a trace formula for this operator.
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页码：171 / 212
页数：41
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